Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading between -1.395°C and 0°C. P( – 1.395 < Z < 0) = |
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- In a sample of 14 randomly selected high school seniors, the mean score on a standardized test was 1197 and the standard deviation was 164.9. Further research suggests that the population mean score on this test for high school seniors is 1022. Does the t-value for the original sample fall between - to 95 and to o5? Assume that the population of test scores for high school seniors is normally distributed. The t-value of t= V fall between - to 95 and to 95 because to g5 =. (Round to two decimal places as needed.)Let x be a random variable which approximately follows a normal distribution with mean μ = 0.01 and σ = 0.001. Show each step and use the Ti-83/84 calculator. Part A. Find P (x > 0.0123).Part B. Find P (x < 0.0087).Part C. Find P (0.0087 < x < 0.0123).Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1.If P(−b<z<b)=0.98P(-b<z<b)=0.98, find b.
- A random sample of 28 lunch orders at Noodles & Company showed a standard deviation of $6.24. Find the 99 percent confidence interval for the population standard deviation. Use Excel to obtain χ2L=CHISQ.INV(α/2,d.f.)χL2=CHISQ.INV(α/2,d.f.) and χ2U=CHISQ.INV.RT(α/2,d.f.)χU2=CHISQ.INV.RT(α/2,d.f.) (Round your answers to 2 decimal places.) The 99% confidence interval is from _________ to____________ .Assume that the readings on the thermometers are normally distributed with a mean of 0° and a standard deviation of 1.00°C. A thermometer is randomly selected and tested. Find the probability of each reading in degrees. (a) Between 0 and 1.48: (b) Between -1.84 and 0: (c) Between –0.0299999999999998 and 2.06: (d) Less than -0.23: (e) Greater than -0.11:Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1.If P(z>d)=0.8355, find d.
- Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of μ= 1.1 kg and a standard deviation of σ = 4.4 kg. Complete parts (a) through (c) below. a. If 1 male college student is randomly selected, find the probability that he gains between 0 kg and 3 kg during freshman year. The probability is 0.2658. (Round to four decimal places as needed.) b. If 9 male college students are randomly selected, find the probability that their mean weight gain during freshman year is between 0 kg and 3 kg. The probability is (Round to four decimal places as needed.)The average height of females in the freshman class of a certain college has historically been 162.5 centimeters with a standard deviation of 6.9 centimeters. A random sample of 50 females in the present freshman class has an average height of 165.2 centimeters. Determine the Z table at alpha=0.05 if we want to know if the females have a significant increase in height in two decimal place. Blank 1 Determine the Z calculated in two decimal places. Blank 2 Is there a significant increase in their height? yes or no Blank 3 Blank 1 Add your answer ank 2 Add your answer nk 3 Add your answerIf a random variable X follows normal distribution with mean 10 and standard deviation 50, write down its p.d.f. Also calculate P(X 10). -x? 2 e |Given: 4(1.96) = 0.975, þ(2.36) = 0.99, where (Z) = -dz] ov2n
- The mean is µ = 15.2 and the standard deviation is Η = 0.9.Find the probability that X is between 14.3 and 16.1.Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading between 2.857°C and 3.191°C. P(2.857 < Z < 3.191) =Let x = red blood cell (RBC) count in millions per cubic millimeter of whole blood. For healthy females, x has an approximately normal distribution with mean ? = 5.6 and standard deviation ? = 0.4. (d) Convert the z interval, z < −1.44, to an x interval. (Round your answer to one decimal place.) (e) Convert the z interval, 1.28 < z, to an x interval. (Round your answer to one decimal place.)